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Finding the Fourth Proportional to 471,011.40, 705,480.30 and 330,006.60

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Solution

The fourth proportional to 471,011.40, 705,480.30 and 330,006.60 is: 494,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,011.40 : 705,480.30 = 330,006.60 : x
  2. Step 2: Convert to fraction form
    471,011.40/705,480.30 = 330,006.60/x
  3. Step 3: Cross multiply
    471,011.40x = 705,480.30 × 330,006.60
  4. Step 4: Simplify right side
    471,011.40x = 232,813,155,169.98
  5. Step 5: Solve for x
    x = 232,813,155,169.98/471,011.40
  6. Step 6: Final answer
    x = 494,283.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.